A ribbon 56 cm long is cut into two pieces. One of the pieces is three times longer than the other. Find the length, in centimet

Question

3 years ago

13

ers, of both pieces of ribbons

1 answer:

Naddik [55] · Answer 1 · 2022-04-29T08:45:10+03:00

Answer:one piece is 42 centimeters and the other piece is 14 centimeters

Step-by-step explanation:

Let x represent the length, in centimeters, of one piece of the ribbon.

Let y represent the length, in centimeters, of the other piece of the ribbon.

The ribbon, 56 cm long is cut into two pieces. This means that

x + y = 56 - - - - -- - - - -1

One of the pieces is three times longer than the other. This means that

x = 3y

Substituting x = 3y into equation 1, it becomes

3y + y = 56

4y = 56

y = 56/4 = 14 centimeters

x = 3y = 2×14 = 42 centimeters